Search a number
-
+
196217228155536 = 24327237245072
BaseRepresentation
bin101100100111010101100010…
…001011101101101010010000
3221201202011222000001000121100
4230213111202023231222100
5201204310340401434121
61533152541124424400
756221140555211200
oct5447254213555220
9851664860030540
10196217228155536
1157580293a15155
121a010268848100
138564288b3a5b3
143664d708b6400
1517a40d8c9c026
hexb275622eda90

196217228155536 has 405 divisors, whose sum is σ = 656667444798729. Its totient is φ = 54534771535104.

The previous prime is 196217228155477. The next prime is 196217228155567. The reversal of 196217228155536 is 635551822712691.

It is a happy number.

The square root of 196217228155536 is 14007756.

It is a perfect power (a square), and thus also a powerful number.

196217228155536 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 1 + 72 + 2 + 8 + 1 + 5 + 553 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 175577870336400 + 20639357819136 = 13250580^2 + 4543056^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43536103395 + ... + 43536107901.

Almost surely, 2196217228155536 is an apocalyptic number.

196217228155536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

196217228155536 is the 14007756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196217228155536

196217228155536 is an abundant number, since it is smaller than the sum of its proper divisors (460450216643193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196217228155536 is an frugal number, since it uses more digits than its factorization.

196217228155536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9116 (or 4556 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 196217228155536 in words is "one hundred ninety-six trillion, two hundred seventeen billion, two hundred twenty-eight million, one hundred fifty-five thousand, five hundred thirty-six".